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Computational Methods and Function Theory

Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Stephan Ruscheweyh
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  2. Edward B. Saff
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  3. Luis C. Salinas
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  4. Richard S. Varga
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1435)

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Table of contents (17 papers)

  1. Front Matter

    Pages I-VI
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  2. Open problems and conjectures in complex analysis

    • Roger W. Barnard
    Pages 1-26

  3. A remarkable cubic mean iteration

    • J. M. Borwein, P. B. Borwein
    Pages 27-31

  4. On the maximal range problem for slit domains

    • Antonio Córdova Yévenes, Stephan Ruscheweyh
    Pages 33-44

  5. On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses

    • Roland Freund
    Pages 45-55

  6. Conformal mapping and Fourier-Jacobi approximations

    • David M. Hough
    Pages 57-70

  7. Numerical solutions of the schiffer equation

    • J. A. Hummel
    Pages 71-79

  8. Behavior of the lagrange interpolants in the roots of unity

    • K. G. Ivanov, E. B. Saff
    Pages 81-87

  9. Orthogonal polynomials, chain sequences, three-term recurrence relations and continued fractions

    • Lisa Jacobsen
    Pages 89-101

  10. On Thurston's formulation and proof of Andreev's theorem

    • Al Marden, Burt Rodin
    Pages 103-115

  11. Hyperbolic geometry in spherically k-convex regions

    • Diego Mejía, David Minda
    Pages 117-129

  12. The Bloch and Marden constants

    • David Minda
    Pages 131-142

  13. On some analytic and computational aspects of two dimensional vortex sheet evolution

    • O. F. Orellana
    Pages 143-154

  14. On the numerical performance of a domain decomposition method for conformal mapping

    • N. Papamichael, N. S. Stylianopoulos
    Pages 155-169

  15. Planar harmonic mappings

    • Glenn Schober
    Pages 171-176

  16. Extremal problems for non-vanishing H p functions

    • T. J. Suffridge
    Pages 177-190

  17. Some results on separate convergence of continued fractions

    • W. J. Thron
    Pages 191-200

  18. Asymptotics for the zeros of the partial sums of ez. II

    • R. S. Varga, A. J. Carpenter
    Pages 201-207

  19. Back Matter

    Pages 209-215
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Keywords

About this book

The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.

Bibliographic Information

  • Book Title: Computational Methods and Function Theory

  • Book Subtitle: Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989

  • Editors: Stephan Ruscheweyh, Edward B. Saff, Luis C. Salinas, Richard S. Varga

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0087892

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52768-8Published: 10 July 1990

  • eBook ISBN: 978-3-540-47139-4Published: 22 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 220

  • Topics: Analysis, Symbolic and Algebraic Manipulation

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